Quantization dimension of random self-similar measures

被引：5

作者：

Dai, Meifeng ^{[1
]}

Tan, Xiao ^{[1
]}

机构：

[1] Jiangsu Univ, Nonlinear Sci Res Ctr, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 362卷 / 02期

基金：

美国国家科学基金会;

关键词：

Quantization dimension; Random self-similar set; Random measure; SIMILAR SET;

D O I：

10.1016/j.jmaa.2009.08.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the quantization dimension of a random self-similar measure mu supported on the random self-similar set K(omega). We establish a relationship between the quantization dimension of mu and its distribution. At last we give a simple example to show that how to use the formula of the quantization dimension. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：471 / 475

页数：5

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